8113575254400 has 1536 divisors, whose sum is σ = 37629155865600. Its totient is φ = 1658216448000.

The previous prime is 8113575254399. The next prime is 8113575254423. The reversal of 8113575254400 is 44525753118.

8113575254400 is a `hidden beast` number, since 8 + 1 + 1 + 3 + 57 + 52 + 544 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 405810804 + ... + 405830796.

It is an arithmetic number, because the mean of its divisors is an integer number (24498148350).

Almost surely, 2^{8113575254400} is an apocalyptic number.

8113575254400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8113575254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18814577932800).

8113575254400 is an abundant number, since it is smaller than the sum of its proper divisors (29515580611200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8113575254400 is a wasteful number, since it uses less digits than its factorization.

8113575254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20105 (or 20082 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 8113575254400 in words is "eight trillion, one hundred thirteen billion, five hundred seventy-five million, two hundred fifty-four thousand, four hundred".